Question
What is the quotient and remainder when $ 68 $ is divided by $ 38 $ ?
Answer
The quotient is 1 and the remainder is 30.
Explanation
| Division Table | |||
| 0 | 1 | ||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
| – | 3 | 8 | |
| 3 | 0 | ||
|
STEP 0: set up a division table |
|||
| 3 | 8 | 6 | 8 |
|
STEP 1: DIVIDE 6 : 38 = 0 with a remainder of 6 |
|||
| 0 | |||
| 3 | 8 | 6 | 8 |
|
STEP 2: MULTIPLY 0 · 38 = 0 |
|||
| 0 | |||
| 3 | 8 | 6 | 8 |
| 0 | |||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
|||
| 0 | |||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
|
STEP 5: DIVIDE 68 : 38 = 1 with a remainder of 30 |
|||
| 0 | 1 | ||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
|
STEP 6: MULTIPLY 1 · 38 = 38 |
|||
| 0 | 1 | ||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
| 3 | 8 | ||
|
STEP 7: SUBTRACT 68 - 38 = 30 |
|||
| 0 | 1 | ||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
| – | 3 | 8 | |
| 3 | 0 | ||
|
STEP 7: SUBTRACT 68 - 38 = 30 |
|||
| 0 | 1 | ||
| 3 | 8 | 6 | 8 |
| – | 0 | ||
| 6 | 8 | ||
| – | 3 | 8 | |
| 3 | 0 | ||
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